If tanh x =7/25 find the values of the other hyperbolic functions at x

Duftgart3yb

Duftgart3yb

Answered question

2023-01-29

If tanh x =7/25 find the values of the other hyperbolic functions at x

Answer & Explanation

skarper3

skarper3

Beginner2023-01-30Added 4 answers

tanh x = sinh x cosh x , coth x = cosh x sinh x , sech x = 1 cosh x , csch x = 1 sinh x
cosh 2 x - sinh 2 x = 1 , tanh 2 x + sech 2 x = 1
tanh x = 7 25 , coth x = 25 7
sech x = 1 - 7 2 25 2 = 1 - 49 625 = 576 625 = 24 25
cosh x = 25 24
sinh x = tanh x × cosh x = 7 25 × 25 24 = 7 24
csch x = 24 7

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